Quantum Noise of Semiconductor Light-Emitting Devices at a Low-Injection Level
Hiroshi Fujisaki, Akira Shimizu · Journal of the Physical Society of Japan · 1997
We study the photon statistics of semiconductor light-emitting devices at a low-injection level , using quantum Langevin equations which take account of nonradiative processes and carrier-number dependence of lifetimes. Assuming the noise correlations which are consistent with the fluctuation-dissipation theorem, we derive new formulae for the photon Fano factor, which represents the photon statistics as a function of the pump (injection) statistics. The formulae are applicable to the general cases when the quantum efficiency η differs from the differential quantum efficiency η d and when emission efficiency and/or detection efficiency of photons are different among different photon modes. The formulae agree with recent experimental results, which cannot be explained by the previous theories. It is also shown that a Poissonian pump can produce either sub-Poissonian light (if η d η).